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Simplifying 3a + -12 = a + 8 Reorder the terms: -12 + 3a = a + 8 Reorder the terms: -12 + 3a = 8 + a Solving -12 + 3a = 8 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -12 + 3a + -1a = 8 + a + -1a Combine like terms: 3a + -1a = 2a -12 + 2a = 8 + a + -1a Combine like terms: a + -1a = 0 -12 + 2a = 8 + 0 -12 + 2a = 8 Add '12' to each side of the equation. -12 + 12 + 2a = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 2a = 8 + 12 2a = 8 + 12 Combine like terms: 8 + 12 = 20 2a = 20 Divide each side by '2'. a = 10 Simplifying a = 10
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